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Simplifying 0.5(4x + -3) = 0.2(10x + 10) Reorder the terms: 0.5(-3 + 4x) = 0.2(10x + 10) (-3 * 0.5 + 4x * 0.5) = 0.2(10x + 10) (-1.5 + 2x) = 0.2(10x + 10) Reorder the terms: -1.5 + 2x = 0.2(10 + 10x) -1.5 + 2x = (10 * 0.2 + 10x * 0.2) -1.5 + 2x = (2 + 2x) Add '-2x' to each side of the equation. -1.5 + 2x + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.5 + 0 = 2 + 2x + -2x -1.5 = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.5 = 2 + 0 -1.5 = 2 Solving -1.5 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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